A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She...

A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She surveys, at random, 31 recent graduates who completed their master’s degrees, and finds that their mean salary is $36,900 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $3000. She also surveys, at random, 34 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $35,600 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1700. Test the claim at the 0.10 level of significance. Let recent graduates with a master's degree be Population 1 and let recent graduates with a bachelor's degree be Population 2.